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Finding the Fourth Proportional to 119.25, 177.68 and 112.26

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Solution

The fourth proportional to 119.25, 177.68 and 112.26 is: 167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.25 : 177.68 = 112.26 : x
  2. Step 2: Convert to fraction form
    119.25/177.68 = 112.26/x
  3. Step 3: Cross multiply
    119.25x = 177.68 × 112.26
  4. Step 4: Simplify right side
    119.25x = 19,947.30
  5. Step 5: Solve for x
    x = 19,947.30/119.25
  6. Step 6: Final answer
    x = 167.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.